Highest Common Factor of 337, 896, 358, 882 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 337, 896, 358, 882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 337, 896, 358, 882 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 337, 896, 358, 882 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 337, 896, 358, 882 is 1.

HCF(337, 896, 358, 882) = 1

HCF of 337, 896, 358, 882 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 337, 896, 358, 882 is 1.

Highest Common Factor of 337,896,358,882 using Euclid's algorithm

Highest Common Factor of 337,896,358,882 is 1

Step 1: Since 896 > 337, we apply the division lemma to 896 and 337, to get

896 = 337 x 2 + 222

Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 222 and 337, to get

337 = 222 x 1 + 115

Step 3: We consider the new divisor 222 and the new remainder 115, and apply the division lemma to get

222 = 115 x 1 + 107

We consider the new divisor 115 and the new remainder 107,and apply the division lemma to get

115 = 107 x 1 + 8

We consider the new divisor 107 and the new remainder 8,and apply the division lemma to get

107 = 8 x 13 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 337 and 896 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(107,8) = HCF(115,107) = HCF(222,115) = HCF(337,222) = HCF(896,337) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 358 > 1, we apply the division lemma to 358 and 1, to get

358 = 1 x 358 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 358 is 1

Notice that 1 = HCF(358,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 882 > 1, we apply the division lemma to 882 and 1, to get

882 = 1 x 882 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 882 is 1

Notice that 1 = HCF(882,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 337, 896, 358, 882 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 337, 896, 358, 882?

Answer: HCF of 337, 896, 358, 882 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 337, 896, 358, 882 using Euclid's Algorithm?

Answer: For arbitrary numbers 337, 896, 358, 882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.